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Finding the Fourth Proportional to 114,462.24, 171,555.12 and 48,660

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Solution

The fourth proportional to 114,462.24, 171,555.12 and 48,660 is: 72,931.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,462.24 : 171,555.12 = 48,660 : x
  2. Step 2: Convert to fraction form
    114,462.24/171,555.12 = 48,660/x
  3. Step 3: Cross multiply
    114,462.24x = 171,555.12 × 48,660
  4. Step 4: Simplify right side
    114,462.24x = 8,347,872,139.20
  5. Step 5: Solve for x
    x = 8,347,872,139.20/114,462.24
  6. Step 6: Final answer
    x = 72,931.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.